Mathematics / Year 4 / Number

Curriculum content descriptions

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems using number sentences and choose efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of the situation (AC9M4N08)

  • modelling and solving a range of practical additive problems using materials, part-part-whole diagrams and/or a bar model, and writing addition and/or subtraction number sentences, based on whether a part or the whole is missing; explaining how each number in their number sentence is connected to the situation
  • modelling practical problems with division, interpreting and representing the situation using a diagram or array to represent what is unknown (the number of groups, or the number per group); writing a division number sentence to represent the situation and choosing an efficient calculation strategy
  • modelling practical problems involving money, such as a budget for a large event, as requiring either addition, subtraction, multiplication or division and justifying the choice of operation in relation to the situation
  • modelling and solving multiplication problems involving money, such as buying \(5\) toy scooters for \(\$96\) each, using efficient mental strategies and written jottings to keep track if needed; for example, rounding \(\$96\) up to \(\$100\) and subtracting \(5 \times\$4 = \$20\), so \(5 \times\$96\) is the same as \(5\times\$100\) less \(\$20\), giving the answer \(\$500 \space–\space \$20 = \$480\)
  • modelling situations by formulating comparison problems using number sentences, comparison models and arrays; for example, “Ariana read \(16\) books for the readathon; Maryam read \(4\) times as many books. How many books did Maryam read?” using the expression \(4 \times 16\) and using place value partitioning, basic facts and an array, thinking \(4 \times 10 = 40\) and \(4 \times 6 = 24\), so \(4 \times 16\) can be written as \(40 + 24 = 64\)
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Multiplication,  Finance,  Modelling (Mathematical),  Problem solving


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Paying It Forward Years 3-4

This resource is a cross-curricular unit about how identity and welfare is affected by the groups and places that students belong to and the services that local government provides. They learn that fair isn’t always equal, the importance of integrity and the role of laws and responsibility in protecting their rights and ...


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Students revise and extend the recall of 10x. They describe and continue patterns created from multiplication, and solve multiplication and division problems.


Bright budgeting

Students make calculations with amounts of money and make financial decisions.


Mathematical modelling: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts. They formulate problems using number sentences and choose efficient calculation strategies.


Tuckshop orders

Students make calculations with money.


reSolve: Multiplication - The Tiler

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MoneySmart: How much love can fit into a shoebox?

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Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.


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How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.


Royal Australian Mint: learning

This website provides a range of resources and activities and activities for students and teachers about the history of Australian currency, the minting process and Australia's decimal currency. Of note is an interactive slideshow with high resolution images of currencies from Indigenous barter systems to modern Australian ...


Australian coin history

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MoneySmart: Advertising detectives

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Rubbish recording and reduction: Part 2

In this lesson sequence students use Excel to represent data in a variety of ways.


Introducing algorithms

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Teaching kids about money

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Let's party!

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